The sum of prime numbers between 90 and 100 is?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- Determining the components for the range of 90 to 100:
⇒91=13×7
92: It will be divisible by 2 since it has an even number in the one's position.
⇒92=2×46
93: It will be divisible by 3 since the total of its digits is 12(9+3), which is divisible by 3.
⇒93=3×31
94: It will be divisible by 2 since the one's position has an even number.
⇒94=2×47
95 : It has 5 at its ones place and thus is divisible by 5
⇒95=5×19
96: It will be divisible by 2 since the one's position has an even number.
⇒96=2×48
⇒97=97×1
98: It will be divisible by 2 since the one's location has an even number.
⇒98=2×49
99: It will be divisible by 3 because the sum of its digits, 18(9+9), is divisible by 3.
⇒99=3×33
The only number between 90 and 100 with only the number itself and one other element is 97.
As a result, 97 will also be the result of adding all prime numbers between 90 and 100.
Hence, the correct option is 1.
[1]remove unnecessary content
[2]remove unnecessary content

Watch 3-min video & get full concept clarity